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Finding the Fourth Proportional to 3,745.30, 5,607.07 and 2,180.53

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Solution

The fourth proportional to 3,745.30, 5,607.07 and 2,180.53 is: 3,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.30 : 5,607.07 = 2,180.53 : x
  2. Step 2: Convert to fraction form
    3,745.30/5,607.07 = 2,180.53/x
  3. Step 3: Cross multiply
    3,745.30x = 5,607.07 × 2,180.53
  4. Step 4: Simplify right side
    3,745.30x = 12,226,384.35
  5. Step 5: Solve for x
    x = 12,226,384.35/3,745.30
  6. Step 6: Final answer
    x = 3,264.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.